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il63 [147K]
2 years ago
15

Which system of equations has one solution?

Mathematics
2 answers:
Tju [1.3M]2 years ago
3 0
The first graph. This is because the one solution is where the two lines will intersect.
In the second graph, the two lines are parallel, so there is no possible way for them to intersect. In the third graph, the two lines are on top of one another, so there’s more than one solution.
Therefore, the first graph is where there is one solution.
spayn [35]2 years ago
3 0
The first one for sure
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pashok25 [27]

Answer:

10. y=2x+1                                              y = -1/2x +1

11. y=-1/3x +6                                          y = 3x -4

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Step-by-step explanation:

To write the equation of a line we must have a slope and a point. To find the slope, we use the slope from the equations for parallel lines and modify it for perpendicular lines.

10. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.   The slope here is 2. The parallel slope is 2 and the perpendicular slope is the negative reciprocal or -1/2.

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(y-1)=2(x-0)                                       (y-1)==-1/2(x-0)          

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11. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.   The slope here is -1/3. The parallel slope is -1/3 and the perpendicular slope is the negative reciprocal or 3.

Parallel                                           Perpendicular

(y-5)=-1/3(x-3)                                        (y-5)=3(x-3)          

y-5=-1/3x+1                                            y-5 = 3x - 9

y=-1/3x +6                                              y = 3x -4

12. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.   The slope here is -5. The parallel slope is -5 and the perpendicular slope is the negative reciprocal or 1/5.

Parallel                                           Perpendicular

(y-2)=-5(x--4)                                           (y-2)=1/5(x--4)          

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y-2=-5x -20                                              y-2 = 1/5x +4/5

y=-5x-18                                                    y=1/5x + 14/5


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